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242552144072 = 23731773180749
BaseRepresentation
bin1110000111100100111…
…1000000000011001000
3212012001212122120111102
43201321033000003020
512433221322102242
6303232114120532
723344445131040
oct3417117000310
9765055576442
10242552144072
11939583a8917
123b012280148
1319b4605a154
14ba4d5d4720
156499036e32
hex38793c00c8

242552144072 has 64 divisors (see below), whose sum is σ = 537217920000. Its totient is φ = 100466968320.

The previous prime is 242552144057. The next prime is 242552144143. The reversal of 242552144072 is 270441255242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251554 + ... + 1432302.

It is an arithmetic number, because the mean of its divisors is an integer number (8394030000).

Almost surely, 2242552144072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242552144072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268608960000).

242552144072 is an abundant number, since it is smaller than the sum of its proper divisors (294665775928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242552144072 is a wasteful number, since it uses less digits than its factorization.

242552144072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181566 (or 181562 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 38.

The spelling of 242552144072 in words is "two hundred forty-two billion, five hundred fifty-two million, one hundred forty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 773 868 1546 1736 3092 5411 6184 10822 21644 23963 43288 47926 95852 167741 180749 191704 335482 361498 670964 722996 1265243 1341928 1445992 2530486 5060972 5603219 10121944 11206438 22412876 39222533 44825752 78445066 139718977 156890132 279437954 313780264 558875908 978032839 1117751816 1956065678 3912131356 4331288287 7824262712 8662576574 17325153148 30319018009 34650306296 60638036018 121276072036 242552144072